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almond37 [142]
3 years ago
11

Write the equation of the line that passes through (−1, 5) and has a slope of 3 in point-slope form. (2 points)

Mathematics
2 answers:
sattari [20]3 years ago
5 0

Correct answer: y - 5 = 3(x + 1)

2 of 2 points

aleksandr82 [10.1K]3 years ago
4 0
The point-slope form: y-y_0=m(x-x_0)

m = 3; (-1; 5) \to x_0=-1;\ y_0=5

subtitute

y - 5 = 3(x - (-1))

y - 5 = 3(x + 1)
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LiRa [457]
J>-19


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7 0
3 years ago
A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
3 years ago
this graph shows the amount of rain that falls in a given amount of time. what is the slope of the line and what does it mean in
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Answer:

-5/-2 or 2.5

Step-by-step explanation:

Because you gave two points that I'm guessing are from the graph I think that's the answer. Because when you use the slope formula y2-y1 over x2 - x1 you get -5/-2 or you either get 2.5 meaning that is the slope specifically saying the rate of change. You get 2.5 when you divide -5/-2 incase you need a decimal or want to simplfy it.

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